using OrdinaryDiffEqLowStorageRK
using Trixi

###############################################################################
# Semidiscretization of the compressible Euler equations.

equations = CompressibleEulerEquations2D(1.4)

initial_condition = initial_condition_weak_blast_wave

surface_flux = flux_ranocha
volume_flux = flux_ranocha
polydeg = 4
basis = LobattoLegendreBasis(polydeg)
indicator_sc = IndicatorHennemannGassner(equations, basis,
                                         alpha_max = 1.0,
                                         alpha_min = 0.001,
                                         alpha_smooth = true,
                                         variable = density_pressure)
volume_integral = VolumeIntegralShockCapturingHG(indicator_sc;
                                                 volume_flux_dg = volume_flux,
                                                 volume_flux_fv = surface_flux)

solver = DGSEM(polydeg = polydeg, surface_flux = surface_flux,
               volume_integral = volume_integral)

###############################################################################

coordinates_min = (-1.0, -1.0)
coordinates_max = (1.0, 1.0)

trees_per_dimension = (4, 4)

mesh = T8codeMesh(trees_per_dimension, polydeg = 4,
                  coordinates_min = coordinates_min, coordinates_max = coordinates_max,
                  initial_refinement_level = 2, periodicity = true)

semi = SemidiscretizationHyperbolic(mesh, equations, initial_condition, solver;
                                    boundary_conditions = boundary_condition_periodic)

###############################################################################
# ODE solvers, callbacks etc.

tspan = (0.0, 2.0)
ode = semidiscretize(semi, tspan)

summary_callback = SummaryCallback()

analysis_interval = 100
analysis_callback = AnalysisCallback(semi, interval = analysis_interval)

alive_callback = AliveCallback(analysis_interval = analysis_interval)

save_solution = SaveSolutionCallback(interval = 100,
                                     save_initial_solution = true,
                                     save_final_solution = true,
                                     solution_variables = cons2prim)

stepsize_callback = StepsizeCallback(cfl = 1.0)

callbacks = CallbackSet(summary_callback,
                        analysis_callback,
                        alive_callback,
                        save_solution,
                        stepsize_callback)

###############################################################################
# run the simulation

sol = solve(ode, CarpenterKennedy2N54(williamson_condition = false);
            dt = 1, # solve needs some value here but it will be overwritten by the stepsize_callback
            ode_default_options()..., callback = callbacks);
